You really need to carefully investigate what you have in your machine. If you have AC motors running without VFDs, then they will survive, but they will spin 20% faster which may be a problem. If they are centrifugal pumps, it will likely cause them to overload because load increases exponentially with speed. If they are AC motors with VFDs or DC motors with drives or servos or steppers, it may be completely irrelevant as most drives will be tolerant of a slight increase in line voltage without changing the output. Most modern power supply units (PSU) have wide voltage tolerances, but some cheaper ones do not, so you need to check that out.
Another issue to watch out for is that in the UK, the 415V is a Y feed, so it is 415Y230V and they sometimes use Phase to Neutral to get 230V single phase power for use by power supplies etc. or control system components like relays and contactors. In the US, you MIGHT have 480Y277 if your service is relatively new, but you also might have 480V delta, in which case all of the L-N operations would become dangerous. Even if you have 480Y277, that 277V might be out of tolerance for the control components, especially anything with coils.
In short, there are too many variables to just take a chance on a generalization. You need to investigate thoroughly.